#ifndef ASTRO_EGM_COEFF_H
#define ASTRO_EGM_COEFF_H

#include <array>

/*
 * These spherical harmonics were pulled from the EGM2008 gravity model
 * via the eom utility egm.  They are to be used with the appropriate
 * gravitational and scaling parameters defined in the EGM2008 readme
 * text.
 */
namespace egm_coeff
{

constexpr int degree {41};
constexpr int order {41};
constexpr int nc {900};
constexpr std::array<int, nc> xn = 
  {
    2,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    2,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    2,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    4,
    5,
    6,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    5,
    6,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    6,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    7,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    8,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
    9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   12,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   13,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   14,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   15,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   16,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   17,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   18,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   19,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   20,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   21,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   22,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   23,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   24,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   25,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   26,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   27,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   28,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   29,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   30,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   31,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   32,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   33,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   34,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   35,
   36,
   37,
   38,
   39,
   40,
   41,
   36,
   37,
   38,
   39,
   40,
   41,
   37,
   38,
   39,
   40,
   41,
   38,
   39,
   40,
   41,
   39,
   40,
   41,
   40,
   41,
   41
  };
constexpr std::array<int, nc> xm = 
  {
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    1,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    2,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    3,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    4,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    5,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    6,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    7,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    8,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
    9,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   10,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   11,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   12,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   13,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   14,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   15,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   16,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   17,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   18,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   19,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   20,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   21,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   22,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   23,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   24,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   25,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   26,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   27,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   28,
   29,
   29,
   29,
   29,
   29,
   29,
   29,
   29,
   29,
   29,
   29,
   29,
   29,
   30,
   30,
   30,
   30,
   30,
   30,
   30,
   30,
   30,
   30,
   30,
   30,
   31,
   31,
   31,
   31,
   31,
   31,
   31,
   31,
   31,
   31,
   31,
   32,
   32,
   32,
   32,
   32,
   32,
   32,
   32,
   32,
   32,
   33,
   33,
   33,
   33,
   33,
   33,
   33,
   33,
   33,
   34,
   34,
   34,
   34,
   34,
   34,
   34,
   34,
   35,
   35,
   35,
   35,
   35,
   35,
   35,
   36,
   36,
   36,
   36,
   36,
   36,
   37,
   37,
   37,
   37,
   37,
   38,
   38,
   38,
   38,
   39,
   39,
   39,
   40,
   40,
   41
  };
constexpr std::array<double, nc> cnm = 
  {
   -1.082626173852223e-03,
    2.532410518567722e-06,
    1.619897599916973e-06,
    2.277535907308362e-07,
   -5.406665762838132e-07,
    3.505517957137420e-07,
    2.039931259298844e-07,
    1.221279589194960e-07,
    2.443907697726935e-07,
   -2.434765909981471e-07,
    1.821809613072860e-07,
    2.168318145607224e-07,
   -1.220715373469818e-07,
    1.220543892828699e-08,
   -2.705903004495565e-08,
    1.135153655938359e-07,
    3.709651025250247e-08,
   -2.062808042156127e-08,
    1.380459204071282e-07,
    4.098249467939569e-08,
   -7.229603598506263e-08,
   -1.526016400973656e-07,
   -5.105182113704429e-10,
    2.289532915498683e-08,
    4.289720246719005e-08,
    2.679918943112345e-08,
   -7.378116643988464e-08,
   -4.053699736206276e-08,
    4.886257880349041e-08,
    5.365233525133767e-08,
   -1.935498984530105e-08,
   -2.974805981988279e-08,
   -7.422181063402903e-08,
    6.544197000365113e-08,
   -3.122672310621961e-08,
   -4.943570333788433e-08,
   -2.131102280666899e-08,
    1.150691455196898e-08,
   -5.598147444213898e-08,
   -2.952195295358955e-08,
   -2.667394752374836e-10,
    2.193149631313328e-06,
   -5.086435604395839e-07,
   -5.388248995166953e-08,
   -5.973432980334217e-08,
    2.055886396295928e-07,
    1.591573686089985e-08,
    9.236801598343128e-08,
    5.175793668557519e-08,
    9.216623624616999e-09,
   -3.033688743163606e-08,
   -2.802075823393338e-08,
   -9.865661217228326e-09,
    4.792648686981607e-09,
    1.289864689499911e-08,
   -1.213151285795855e-08,
    3.349863929272127e-09,
   -4.064662850824792e-09,
    2.460127724620703e-09,
   -6.971547230695160e-09,
    6.613330616111087e-09,
    3.786028175719831e-09,
   -1.103494903493598e-09,
    2.523931089408204e-09,
   -5.569144428078754e-11,
    1.091467558370729e-09,
   -1.977539423957415e-09,
    1.483539186114972e-09,
    9.886886684576774e-11,
    2.537828211680130e-09,
   -2.667904562024844e-11,
   -6.051935927535404e-10,
   -1.431741869890120e-10,
   -4.211394580995213e-09,
    1.587754688019839e-11,
   -2.272759449700354e-09,
    1.641317922939764e-09,
   -1.409990033164387e-09,
    1.196679431926736e-09,
   -2.218056531656947e-09,
    1.574615325722917e-06,
    3.090439003916488e-07,
    7.837454574045524e-08,
    1.055288667155987e-07,
    6.052084606346258e-09,
    3.290942390214078e-08,
    6.571917890508301e-09,
    1.483323547796382e-09,
   -5.588505157505168e-09,
    1.041378156966126e-09,
    6.508525865931360e-10,
    2.245655484766902e-09,
   -1.308859290922813e-09,
   -6.763897632286684e-10,
   -7.348193217669651e-10,
   -5.514234988543095e-10,
    3.714692460978395e-10,
    8.328178417700801e-10,
    4.385468067974065e-10,
   -1.129874535537194e-10,
   -4.976235972461922e-10,
   -2.532698384361841e-10,
    1.586506878678723e-11,
    3.535225270369460e-10,
   -2.329459824468023e-11,
    9.169303917010827e-12,
   -1.975991407967603e-10,
   -2.975654759147097e-11,
   -1.184453200470937e-10,
    7.092398665693253e-11,
    1.243239648999149e-10,
   -6.253998349060431e-11,
    6.859687886043205e-11,
   -1.426707635814191e-10,
   -3.403406093570916e-11,
   -1.888709183565559e-11,
    6.286960142602739e-11,
    2.471209464709888e-11,
   -8.712487584058759e-12,
    2.705559885591515e-11,
    1.005835134088229e-07,
    5.921501776396660e-08,
   -1.492648765466326e-08,
    1.186914853436619e-09,
    3.527933169827680e-09,
   -1.958770621270800e-10,
   -1.213859774027980e-09,
   -4.085432778386393e-11,
   -1.410375940623314e-10,
    1.475854484352342e-10,
   -6.597170418717375e-11,
    9.315745203847291e-11,
    1.150449455570990e-10,
   -6.233806187858694e-11,
    9.991019558512213e-12,
   -6.942538618732928e-12,
   -9.109914469072599e-12,
   -5.046019829473660e-12,
    1.803623351751339e-11,
    9.530323417504395e-12,
   -1.813103312466458e-11,
   -3.260755826234327e-12,
   -5.936667256007454e-12,
    8.409203092230403e-12,
    1.791006861250630e-12,
    1.346182196214374e-12,
    1.621749131355767e-12,
    1.532708163227783e-12,
   -2.379142821027475e-12,
   -1.393966507188538e-13,
   -1.209439011575757e-13,
    3.846612944803298e-12,
    4.143456080685879e-13,
   -5.289625622034600e-13,
   -1.354614557942727e-12,
   -2.899246394443289e-13,
   -1.001984782429929e-12,
   -2.257371003097282e-13,
    7.120089462992045e-13,
   -3.983204248731872e-09,
   -2.299511403504220e-09,
   -3.256407503306055e-10,
   -5.839578622360585e-10,
   -3.189389549747224e-10,
   -8.014265969483141e-12,
   -4.975046257442956e-11,
   -1.597919996629865e-11,
   -2.102358036674000e-11,
   -8.570164565854642e-13,
    2.904320421910386e-13,
   -5.729962119764240e-12,
    4.657071713448118e-12,
    5.980914279648198e-13,
    4.138385723613355e-12,
    9.929825102388126e-13,
    2.245408885708260e-13,
   -2.269123829092972e-13,
   -1.366441336934927e-13,
   -7.734700862344655e-13,
    1.669945530789590e-13,
    2.467241728756193e-13,
    4.043077412491581e-13,
   -2.974074867696290e-14,
   -2.316969949435495e-14,
   -3.686147512347181e-13,
   -2.150400007117324e-14,
    1.312570664074829e-13,
    2.037443246469393e-14,
   -5.943821108971277e-14,
   -6.763522679875334e-14,
   -1.929927039477263e-14,
    3.383571159405907e-14,
    3.236041387503395e-14,
    3.553225781454321e-14,
   -2.256397464217042e-14,
    3.171277228644660e-14,
   -7.199678196000229e-15,
    4.304280419791823e-10,
   -2.156208193397855e-10,
    5.831682438273022e-13,
   -4.651868649007886e-12,
   -1.668544765831899e-12,
   -3.059983172457598e-12,
    1.488779355448796e-12,
    8.218805845652802e-13,
    1.076410829893230e-12,
    3.855255019684687e-13,
    1.177291007533487e-13,
   -8.703902479427028e-14,
   -8.858679132189582e-14,
    2.523228303720421e-14,
    3.439292903089294e-14,
   -2.662317601846053e-14,
    5.505037298199384e-15,
    1.659853983354856e-16,
   -1.240877194171171e-15,
   -8.265037772661982e-15,
   -1.067943783343897e-14,
    1.067592078505273e-14,
    1.001423768845089e-14,
    6.975750535880545e-15,
   -3.975397178993244e-15,
   -1.126634495375624e-15,
   -4.243520320893728e-15,
    3.089510042917273e-15,
   -9.084789187175327e-17,
   -1.062477361354819e-15,
   -1.712223719719880e-15,
   -1.632553570407475e-15,
   -1.558927824606866e-15,
   -1.448407504362325e-15,
    6.140358361623845e-16,
    1.456353321503941e-15,
    4.875882662704174e-16,
    2.206478492064131e-12,
   -2.490410824239853e-11,
   -1.842311139500085e-12,
    8.290751832562208e-13,
   -2.608758599564743e-13,
   -6.162442891118703e-15,
    7.432055978671716e-15,
   -5.241858652371456e-14,
   -1.869408574002646e-14,
    2.180069263602886e-14,
    6.404638308899467e-15,
   -3.857032455316578e-15,
    3.245292392956176e-15,
   -8.493247531885186e-16,
    1.619229170050582e-15,
   -1.376982880365167e-15,
    7.988400395567275e-16,
   -7.334714590369215e-16,
    1.761612898999871e-16,
    6.321745549581323e-16,
    3.006484159790489e-16,
    1.263936530910107e-16,
   -9.606675214850849e-17,
    2.001730524634096e-16,
   -2.270295156282784e-18,
   -1.014127887792006e-18,
   -1.120060267087157e-16,
    4.349253400683461e-18,
   -5.267738467047061e-18,
    3.804129278887698e-17,
    5.634981732952092e-17,
   -6.462367034852769e-18,
   -4.928756787760530e-17,
   -9.124049349626658e-18,
   -4.343645731078634e-18,
    6.479565984294663e-18,
    2.796427798942441e-14,
    3.429469812357837e-13,
   -2.248639508047311e-13,
    6.954342646069917e-15,
    1.932849066702000e-15,
   -4.231206599971313e-15,
    3.810325083963655e-16,
    2.846352643468404e-15,
    2.813280754376000e-15,
   -2.453822049786206e-16,
    5.053691509537193e-16,
    9.374815019346493e-17,
    5.429862545280079e-17,
   -1.453550451703628e-16,
   -3.278034369426052e-17,
    6.371750282750376e-17,
   -1.875423439620355e-17,
   -1.248445277445742e-17,
    1.511224309741241e-17,
   -1.934203267962997e-18,
   -1.059843101989162e-17,
   -1.942610268243968e-18,
   -2.143528209964622e-18,
    1.145393534230856e-18,
   -5.826470385620946e-19,
    3.289424832478871e-19,
   -9.613597795869595e-19,
    4.505339687373370e-19,
   -5.626955166683321e-19,
    6.132696025639012e-19,
    8.690843262545249e-19,
    2.130082474696769e-19,
    2.059142891099627e-19,
   -1.584102907384602e-20,
   -4.462244919514879e-20,
   -1.580997179900209e-13,
    6.149359498684392e-14,
    4.650241525880696e-15,
   -3.001703182528355e-16,
   -5.749165215154874e-16,
   -1.132192775730173e-16,
   -2.129813379556675e-16,
   -1.115577624798863e-16,
   -4.391428571090437e-17,
    4.990908108673867e-17,
    2.488727194576256e-17,
    1.598257845254947e-17,
    1.828786494383124e-18,
   -4.240699126756140e-18,
   -4.041490032803648e-18,
    8.999435646037664e-19,
    1.360073087258263e-18,
    1.346252184190020e-19,
    1.664077726147513e-19,
   -2.892293625411704e-19,
   -8.380788839700451e-20,
   -4.097586407231771e-19,
    7.538110091255010e-20,
   -3.959112733853188e-20,
    1.336236839759560e-19,
   -3.153777259603986e-20,
   -4.730277413444791e-20,
    7.603417296821710e-21,
    2.550310465578704e-20,
   -1.108118141934397e-20,
    1.063665049156167e-20,
    6.223862648807219e-22,
    1.132578965516040e-20,
   -2.473748994913570e-21,
   -3.663821510273402e-15,
    2.329667453325552e-15,
   -1.910785716217932e-16,
    1.015677242869296e-16,
    2.659806686637838e-17,
    1.657877737414446e-17,
    3.567474490200900e-18,
   -3.282515991952378e-18,
    2.910425557214122e-19,
   -9.718287755791322e-19,
    1.001855395241467e-19,
    3.306863496768073e-19,
    1.976021726810399e-19,
    5.517135435432421e-20,
    1.014663530247966e-20,
   -4.446790880485312e-20,
   -8.166093045778525e-20,
   -2.501382161002194e-20,
    4.219077121343205e-21,
    9.316763065152871e-21,
    5.715102278208521e-23,
   -4.434322097477930e-21,
    3.772274359120578e-22,
    1.735905327541798e-21,
    1.274939819769750e-21,
    4.076251378157310e-24,
   -2.060922178705940e-22,
    1.859306797321982e-22,
    3.566357520407327e-22,
    2.705650744776260e-22,
    4.231503206168747e-22,
   -1.445521052650633e-22,
   -6.360397094603142e-23,
    4.173031950907266e-16,
   -4.957325918295819e-17,
   -1.849170373301714e-18,
    4.602058704821813e-18,
    1.837840771545301e-18,
    2.247899120165774e-19,
   -1.281588229320733e-19,
   -2.160662659129371e-20,
    1.631489071031989e-20,
   -6.061559179014973e-20,
   -3.420618794771933e-20,
   -7.365651520030873e-21,
    2.277763770705480e-21,
    4.377850639326147e-21,
    1.866456342159414e-21,
    1.021986120334124e-21,
   -1.155795412771586e-21,
   -7.204784868519020e-22,
   -3.970005502494043e-22,
    3.649921706769708e-22,
    9.324719048079895e-23,
    6.061574252517982e-23,
   -1.445492062549866e-23,
   -1.216939261923117e-23,
   -5.407710607701374e-23,
   -9.817572321661217e-24,
    6.982645844960170e-24,
    1.180029383372056e-23,
   -5.418134709774538e-24,
    4.013791545692968e-24,
   -6.176089187487400e-24,
    5.373117976670224e-24,
    9.353144093713314e-18,
    4.997904321193377e-19,
   -5.873909809473849e-19,
    7.411629973669832e-20,
   -2.505987085285357e-21,
    1.629948337989212e-20,
   -6.512375734434079e-21,
   -1.414342197411940e-21,
    1.775364931881371e-21,
    8.692466551762751e-22,
    2.374277332630401e-22,
   -9.794452289682337e-23,
    1.139991800086539e-22,
    1.166912703507053e-22,
    9.238555444614476e-24,
   -1.468502121408767e-23,
    4.691965394767714e-24,
   -4.997135168304843e-24,
   -5.993558387273213e-24,
   -6.360743150165949e-24,
    9.277743632785875e-25,
   -1.169665845407997e-24,
    4.881156031169184e-25,
   -2.698830626557943e-25,
    2.775709170139040e-25,
   -3.606285724185670e-25,
   -1.076037533982326e-25,
    9.210501751527750e-26,
    4.989711760924302e-25,
    1.358527608758676e-25,
    6.020431253623394e-26,
   -2.175825163363172e-20,
   -5.842511687117528e-20,
    4.538920882086557e-21,
   -5.991319990278833e-21,
    1.410089759769286e-21,
    8.852933579721590e-22,
   -4.216229198696244e-22,
   -1.686980249027135e-23,
   -2.292546389507529e-23,
   -6.305861331767849e-24,
    2.543647226345902e-24,
    9.922409747966673e-24,
    4.080278519649136e-24,
   -1.667096839629881e-24,
   -2.261308264085230e-24,
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   -5.286948341749330e-55,
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    1.380106427436599e-57,
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   -2.516253212177570e-58,
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   -8.831284892892472e-60,
   -6.536283479528532e-56,
   -7.153218157202387e-58,
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   -3.000796192293751e-60,
    5.002491946404696e-61,
   -5.035451478893558e-61,
   -6.508490406015086e-58,
    2.426429261134182e-60,
   -2.262163639750611e-59,
    2.305206188665789e-60,
   -1.486383338704560e-60,
    2.031039471504162e-61,
   -1.102917920885691e-61,
    7.674122974304040e-60,
   -7.405191037372276e-61,
    2.680541758809188e-62,
    2.795662030189851e-62,
    5.246065065284406e-63,
    9.848445720762361e-64,
    1.186497865904951e-61,
   -9.529925827501468e-63,
    3.574209756389579e-64,
   -4.454351376964013e-64,
    1.201054492488154e-65,
    8.032174343184376e-64,
   -3.123655840327146e-65,
    2.016018578765128e-66,
   -1.114356281656910e-65,
   -4.475881037521115e-67,
    2.750968275505210e-66,
   -3.755985730027631e-67,
   -8.471937546803833e-68,
    2.116175301505635e-68,
    2.445256513089144e-69
  };
constexpr std::array<double, nc> snm = 
  {
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    0.000000000000000e+00,
    1.787270648524043e-09,
    2.680870894008977e-07,
   -4.492654321438083e-07,
   -8.081347491204566e-08,
    2.085973408290852e-08,
    6.962505612128255e-08,
    4.047340405073652e-08,
    1.390572972893474e-08,
   -8.100383729749584e-08,
   -1.601173077563998e-08,
   -2.443771088038766e-08,
    2.107519889567044e-08,
    1.516714094388653e-08,
    5.328308941937696e-09,
    1.642419214251888e-08,
   -1.516372033817057e-08,
   -1.827941582129855e-08,
    5.407349503579978e-10,
    3.105839767250609e-09,
    1.237920776832707e-08,
   -1.619740283019693e-09,
    6.683154047379901e-09,
   -6.194196733762385e-10,
   -3.627387979680686e-09,
   -2.583641552289729e-09,
    6.054553360503281e-10,
    3.266846273214462e-09,
   -4.982749236033640e-09,
    3.937296706507937e-10,
   -6.585093945214639e-09,
    1.255863433261125e-09,
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}

#endif
